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Toward Analytical Chaos in Nonlinear Systems by Albert C.J. Luo (English) Hardco
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eBay item number:145502521763
Item specifics
- Condition
- ISBN-13
- 9781118658611
- Book Title
- Toward Analytical Chaos in Nonlinear Systems
- ISBN
- 9781118658611
- Publication Year
- 2014
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Publication Name
- Toward Analytical Chaos in Nonlinear Systems
- Item Height
- 251mm
- Publisher
- John Wiley & Sons Inc
- Item Width
- 168mm
- Subject
- Mathematics
- Item Weight
- 566g
- Number of Pages
- 268 Pages
About this product
Product Information
Exact analytical solutions to periodic motions in nonlinear dynamical systems are almost not possible. Since the 18th century, one has extensively used techniques such as perturbation methods to obtain approximate analytical solutions of periodic motions in nonlinear systems. However, the perturbation methods cannot provide the enough accuracy of analytical solutions of periodic motions in nonlinear dynamical systems. So the bifurcation trees of periodic motions to chaos cannot be achieved analytically. The author has developed an analytical technique that is more effective to achieve periodic motions and corresponding bifurcation trees to chaos analytically. Toward Analytical Chaos in Nonlinear Systems systematically presents a new approach to analytically determine periodic flows to chaos or quasi-periodic flows in nonlinear dynamical systems with/without time-delay. It covers the mathematical theory and includes two examples of nonlinear systems with/without time-delay in engineering and physics. From the analytical solutions, the routes from periodic motions to chaos are developed analytically rather than the incomplete numerical routes to chaos. The analytical techniques presented will provide a better understanding of regularity and complexity of periodic motions and chaos in nonlinear dynamical systems. Key features: Presents the mathematical theory of analytical solutions of periodic flows to chaos or quasieriodic flows in nonlinear dynamical systems Covers nonlinear dynamical systems and nonlinear vibration systems Presents accurate, analytical solutions of stable and unstable periodic flows for popular nonlinear systems Includes two complete sample systems Discusses time-delayed, nonlinear systems and time-delayed, nonlinear vibrational systems Includes real world examples Toward Analytical Chaos in Nonlinear Systems is a comprehensive reference for researchers and practitioners across engineering, mathematics and physics disciplines, and is also a useful source of information for graduate and senior undergraduate students in these areas.
Product Identifiers
Publisher
John Wiley & Sons Inc
ISBN-13
9781118658611
eBay Product ID (ePID)
194671475
Product Key Features
Publication Name
Toward Analytical Chaos in Nonlinear Systems
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2014
Type
Textbook
Number of Pages
268 Pages
Dimensions
Item Height
251mm
Item Width
168mm
Item Weight
566g
Additional Product Features
Country/Region of Manufacture
United States
Item description from the seller
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- AU 82107909133
- GB 293967539
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